CarMax Business Analyst interview questions

You are taken into an art vault by a very rich philanthropist. They are going to show you 100 paintings one at a time that all have their monetary amount posted on the painting, which you can see. You get to take one painting home from the island. If you say no to a painting, it goes back into the vault and you never see it again. Once you say yes to a painting you take that one and leave the island immediately. What is your strategy for obtaining the painting of highest value and what is the exact percentage chance of obtaining the most expensive painting with your strategy?

Name a time when you had to overcome something.